Search a number
-
+
105151084722 = 2321492263129
BaseRepresentation
bin110000111101101111…
…1100011100010110010
3101001102011022120002100
41201323133203202302
53210322134202342
6120150012401230
710411512321135
oct1417337434262
9331364276070
10105151084722
114065a056312
1218466a76216
139bb9a59b78
14513721021c
152b06586e4c
hex187b7e38b2

105151084722 has 36 divisors (see below), whose sum is σ = 229367526570. Its totient is φ = 34814991936.

The previous prime is 105151084721. The next prime is 105151084769. The reversal of 105151084722 is 227480151501.

It is a happy number.

105151084722 is a `hidden beast` number, since 10 + 51 + 510 + 84 + 7 + 2 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 41197226841 + 63953857881 = 202971^2 + 252891^2 .

It is a super-2 number, since 2×1051510847222 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105151084721) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 268054 + ... + 531182.

Almost surely, 2105151084722 is an apocalyptic number.

105151084722 is an abundant number, since it is smaller than the sum of its proper divisors (124216441848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105151084722 is a wasteful number, since it uses less digits than its factorization.

105151084722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263435 (or 263283 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 105151084722 in words is "one hundred five billion, one hundred fifty-one million, eighty-four thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 18 149 298 447 894 1341 2682 22201 44402 66603 133206 199809 263129 399618 526258 789387 1578774 2368161 4736322 39206221 78412442 117618663 235237326 352855989 705711978 5841726929 11683453858 17525180787 35050361574 52575542361 105151084722